as lemmas, first named for their originally minor purpose. These include, among others: Bézout's lemma Burnside's lemma Dehn's lemma Euclid's lemma Farkas'...

must also divide the left-hand side, v. This result is known as Euclid's lemma. Specifically, if a prime number divides L, then it must divide at least...

qualify as theorems only the most important results, and use the terms lemma, proposition and corollary for less important theorems. In mathematical...

Least common multiple Euclidean algorithm Coprime Euclid's lemma Bézout's identity, Bézout's lemma Extended Euclidean algorithm Table of divisors Prime number...

N2 → N, f(n1,n2) := n1 + n2 The greatest common divisor of two numbers A Bézout coefficient of two numbers The smallest prime factor of a number If f and...

1] with translation, and finally to use rotation to move b to U[1, 1]. Lemma: If A is a commutative ring and b − a, c − b, c − a are all units, then...

Cramer (1750) stated, without proof, Cramer's rule. Both Cramer and also Bézout (1779) were led to determinants by the question of plane curves passing...

hypotheses List of inequalities Lists of integrals List of laws List of lemmas List of limits List of logarithmic identities List of mathematical functions...

non-constant polynomial with real coefficients has some complex root. This lemma is enough to establish the general case because, given a non-constant polynomial...

then the ith Bass number of M is the k-dimension of Exti R(k,M). Bézout domain A Bézout domain is an integral domain in which the sum of two principal ideals...